Solve the system by the method of substitution.
A)(-4, 2)
B)(2, -4)
C)(-2, -4)
D)(-4, -2)
E)(4, 2)

Question

Solve the system by the method of substitution. 
A)(-4, 2) 
B)(2, -4) 
C)(-2, -4) 
D)(-4, -2) 
E)(4, 2)

Quizplus · Accepted Answer

We can solve the system by using the method of substitution as follows:

From the first equation, we have:

y = -x - 2

Substituting this expression for y into the second equation, we get:

3x - 4(-x - 2) = 10

Simplifying, we get:

3x + 4x + 8 = 10

7x = 2

x = -2/7

Substituting this value for x back into the first equation, we get:

y = -(-2/7) - 2 = -12/7

Therefore, the solution to the system is (-2/7, -12/7), which is approximately (-0.29, -1.71).

The closest answer choice to this solution is D, (-4, -2). However, this is not the exact solution to the system, so we cannot be 100% certain that it is correct.

Solve the System by the Method of Substitution